506328192 has 128 divisors (see below), whose sum is σ = 1503072000. Its totient is φ = 167795712.

The previous prime is 506328191. The next prime is 506328241. The reversal of 506328192 is 291823605.

506328192 is a `hidden beast` number, since 5 + 0 + 632 + 8 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (506328191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 825678 + ... + 826290.

It is an arithmetic number, because the mean of its divisors is an integer number (11742750).

Almost surely, 2^506328192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506328192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751536000).

506328192 is an abundant number, since it is smaller than the sum of its proper divisors (996743808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506328192 is a wasteful number, since it uses less digits than its factorization.

506328192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 506328192 is about 22501.7375329107. The cubic root of 506328192 is about 797.0349575641.

The spelling of 506328192 in words is "five hundred six million, three hundred twenty-eight thousand, one hundred ninety-two".